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math.CT2023
Relative fixed points of functors
Ezra Schoen, Jade Master, Clemens Kupke
We show how the relatively initial or relatively terminal fixed points for a well-behaved functor form a pair of adjoint functors between -coalgebras and -algebras. We us…
math.CT2023
Beyond Initial Algebras and Final Coalgebras
Ezra Schoen, Jade Master, Clemens Kupke
We provide a construction of the fixed points of functors which may not be inital algebras or final coalgebras. For an endofunctor F, this fixed point construction may be expressed…